90675196416 has 640 divisors, whose sum is σ = 320299499520. Its totient is φ = 24783667200.

The previous prime is 90675196357. The next prime is 90675196499. The reversal of 90675196416 is 61469157609.

It is a happy number.

90675196416 is a `hidden beast` number, since 9 + 0 + 67 + 519 + 64 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 500967846 + ... + 500968026.

It is an arithmetic number, because the mean of its divisors is an integer number (500467968).

Almost surely, 2^90675196416 is an apocalyptic number.

90675196416 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90675196416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160149749760).

90675196416 is an abundant number, since it is smaller than the sum of its proper divisors (229624303104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90675196416 is a wasteful number, since it uses less digits than its factorization.

90675196416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 90675196416 in words is "ninety billion, six hundred seventy-five million, one hundred ninety-six thousand, four hundred sixteen".